Is the brain a Clifford algebra quantum computer?

Valeri G. Labunets; Ekaterina V. Labunets-Rundblad; Jaakko T. Astola

doi:10.1117/12.447643

6 November 2001 Is the brain a Clifford algebra quantum computer?

Valeri G. Labunets, Ekaterina V. Labunets-Rundblad, Jaakko T. Astola

Proceedings Volume 4453, Materials and Devices for Photonic Circuits II; (2001) https://doi.org/10.1117/12.447643
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

We propose a novel method to calculate invariants of colour and multicolour images. It employs an idea of classical and quantum hypercomplex numbers and combines it with the idea of classical and quantum number theoretical transforms over hypercomplex algebras, which reduce the computational complexity of the global recognition algorithm for nD k-multispectral images from O(knNⁿ⁺¹)to O(kNⁿ log N) and to O(kn log N), respectively. Our hypotheses are 1) the brain of primates calculates hypercomplex-valued invariants of an image during recognizing, 2) visual systems of animals with different evolutionary history use different hypercomplex algebras. The main goal of the paper is to show that quantum Clifford algebras can be used to solve pattern recognition in multispectral environment in a natural and effective manner.

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Valeri G. Labunets, Ekaterina V. Labunets-Rundblad, and Jaakko T. Astola "Is the brain a Clifford algebra quantum computer?", Proc. SPIE 4453, Materials and Devices for Photonic Circuits II, (6 November 2001); https://doi.org/10.1117/12.447643

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